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3 years ago

5

Mr and Mrs Baker place 12-inch rulers along the length of a rug. They each line up 3 rulers along the edge of the rug. What is t

he length of the rug?
about__feet

2 answers:

kati45 [8]3 years ago

5 0

The length of the rug would be about 36 feet because 12x3=36.

Daniel [21]3 years ago

4 0

3 Feet
12 inches= 1 foot
36 inches = 3 feet

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A circle is centered at the point (5, -4) and passes through the point (-3, 2).

zepelin [54]

Answer:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

As we know the given points

Center = (5, -4)

and

Point on circle = (-3,2)

The distance between point on circle and center will give us the radius of circle

So,

The formula for distance is:

$\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1})^{2}}\\Taking\ center\ as\ point\ 1\ and\ the\ other\ point\ as\ point\ 2\\d=\sqrt{(-3-5)^{2}+(2-(-4))^{2}}\\d=\sqrt{(-8)^{2}+(2+4)^{2}}\\d=\sqrt{(-8)^{2}+(6)^{2}}\\\\d=\sqrt{64+36}\\d=\sqrt{100} \\ d=10\\So\ the\ radius\ is\ 10$

The standard form of equation of circle is:

$(x-h)^{2}+(y-k)^{2}=r^{2}$

where h and k are the coordinates of the center. So putting in the value:

$(x-5)^{2}+(y-(-4))^{2}=(10)^{2}\\(x-5)^{2}+(y+4)^{2}=100$

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3 years ago

Let f(x) = 3x+2 and g(x)=6x-7 find f(x)-g(x)

makkiz [27]

-3x+9
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4 years ago

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Consider the series 3/2 + 3/4 + 3/8 + 3/16 + ... What expression defines Sn?

snow_lady [41]

For the series 3/2 + 3/4 + 3/8 + 3/16 + ...the sum will be calculated by the formula $3(\dfrac{1}{2})^n$ .

<h3>What is number series?</h3>

When the numbers are arranged in a series with some logic then it is called as the number series.

here we have a series:

$\dfrac{3}{2}+\dfrac{3}{4}+\dfrac{3}{8}+\dfrac{3}{16}+............$

The sum of the series will be given as:

$S_n=3(\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}+............)$

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Hence for the series 3/2 + 3/4 + 3/8 + 3/16 + ...the sum will be calculated by the formula $3(\dfrac{1}{2})^n$

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brainly.com/question/6561461

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2 years ago

2x^3=28<br><br> find the exact solution for x

Alborosie

Answer:

The answer to your question is: x = 2.41

Step-by-step explanation:

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